{"title":"Chow groups of surfaces of lines in cubic fourfolds","authors":"D. Huybrechts","doi":"10.46298/epiga.2023.10425","DOIUrl":null,"url":null,"abstract":"The surface of lines in a cubic fourfold intersecting a fixed line splits\nmotivically into two parts, one of which resembles a K3 surface. We define the\nanalogue of the Beauville-Voisin class and study the push-forward map to the\nFano variety of all lines with respect to the natural splitting of the\nBloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.10425","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The surface of lines in a cubic fourfold intersecting a fixed line splits
motivically into two parts, one of which resembles a K3 surface. We define the
analogue of the Beauville-Voisin class and study the push-forward map to the
Fano variety of all lines with respect to the natural splitting of the
Bloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial.
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